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Finding the Fourth Proportional to 2,537.09, 3,807 and 1,150.32

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Solution

The fourth proportional to 2,537.09, 3,807 and 1,150.32 is: 1,726.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.09 : 3,807 = 1,150.32 : x
  2. Step 2: Convert to fraction form
    2,537.09/3,807 = 1,150.32/x
  3. Step 3: Cross multiply
    2,537.09x = 3,807 × 1,150.32
  4. Step 4: Simplify right side
    2,537.09x = 4,379,261.10
  5. Step 5: Solve for x
    x = 4,379,261.10/2,537.09
  6. Step 6: Final answer
    x = 1,726.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.